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Finding the Third Proportional to 3,160.69 and 6,129.84

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Solution

The third proportional to 3,160.69 and 6,129.84 is: 11,888.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.69 : 6,129.84 = 6,129.84 : x
  2. Step 2: Convert to fraction form
    3,160.69/6,129.84 = 6,129.84/x
  3. Step 3: Cross multiply
    3,160.69x = 6,129.84 × 6,129.84
  4. Step 4: Simplify right side
    3,160.69x = 37,574,984.40
  5. Step 5: Solve for x
    x = 37,574,984.40/3,160.69
  6. Step 6: Final answer
    x = 11,888.23

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.